The theoretical structure of Fuzzy Analytic Network Process (FANP) with Interval Type-2 Fuzzy Sets

ŞENTÜRK S., Binici Y., ERGİNEL N.

8th IFAC Conference on Manufacturing Modelling, Management and Control (MIM), Troyes, France, 28 - 30 June 2016, vol.49, pp.1318-1322 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 49
  • Doi Number: 10.1016/j.ifacol.2016.07.706
  • City: Troyes
  • Country: France
  • Page Numbers: pp.1318-1322
  • Keywords: Fuzzy Modelling, Multi-criteria Decision Making, Type-2 Fuzzy Sets, LOGIC SYSTEMS, REDUCTION
  • Anadolu University Affiliated: Yes

Abstract

The Fuzzy Analytic Network Process has solved multi-criteria decision making problems. Type-1 fuzzy sets used defining as expert's linguistic judgement because fuzzy set theory is concerned with uncertainty in human thought and perception. Type-2 fuzzy sets generalized type-1 fuzzy sets so creates more uncertainty while defining membership function. Some fuzzy multi-criteria decision making problems are extended by using type-2 fuzzy sets. Due to general type-2 fuzzy sets are more complicated, it suggested to use interval type-2 fuzzy sets for handling uncertainty. Fuzzy Analytic Network Process (FANP) method is a widely used multi-criteria to handle interaction among the criteria and linguistic variables. In this paper, we propose a new approach which is a fuzzy analytic network process method together with using interval type-2 fuzzy sets. This approach includes linguistic variables in interval type 2 fuzzy sets. (C) 2016, IFAC(International Federation of Automatic Control) Hosting by Elsevier Ltd. All right reserved.